메뉴 건너뛰기




Volumn 1, Issue 1, 2002, Pages 105-114

Chaos in the hodgkio-hoxley model

Author keywords

Action potential; Chaos; Hodgkin huxley; Horseshoe

Indexed keywords


EID: 0042480136     PISSN: 15360040     EISSN: 15360040     Source Type: Journal    
DOI: 10.1137/S1111111101394040     Document Type: Article
Times cited : (152)

References (21)
  • 2
    • 0039825031 scopus 로고
    • Order in chaos
    • D. Campbell and H. Rose, eds.
    • D. Campbell and H. Rose, eds., Order in chaos, Phys. D, 7 (1983), pp. 1-362.
    • (1983) Phys. D , vol.7 , pp. 1-362
  • 3
    • 0031812901 scopus 로고    scopus 로고
    • Excitability of the squid giant axon revisited
    • J. R. Clay, Excitability of the squid giant axon revisited, J. Neurophysiol., 80 (1998), pp. 903-913.
    • (1998) J. Neurophysiol. , vol.80 , pp. 903-913
    • Clay, J.R.1
  • 5
    • 3042659181 scopus 로고    scopus 로고
    • Nonlinear dynamics of small-scale biophysical neural networks
    • R. R. Poznanski, ed., Mary Ann Liebert, Inc., Larchmont, NY
    • S. Doi and S. Kumagai, Nonlinear dynamics of small-scale biophysical neural networks, in Biophysical Neural Networks, R. R. Poznanski, ed., Mary Ann Liebert, Inc., Larchmont, NY, 2001, pp. 261-301.
    • (2001) Biophysical Neural Networks , pp. 261-301
    • Doi, S.1    Kumagai, S.2
  • 6
    • 35949023610 scopus 로고
    • Roads to turbulence in dissipative dynamical systems
    • J.-P. Eckmann, Roads to turbulence in dissipative dynamical systems, Rev. Modern Phys., 53 (1981), pp. 643-654.
    • (1981) Rev. Modern Phys. , vol.53 , pp. 643-654
    • Eckmann, J.-P.1
  • 7
    • 53349102813 scopus 로고
    • Impulses and physiological states in models of nerve membrane
    • R. Fitzhugh, Impulses and physiological states in models of nerve membrane, Biophys. J., 1 (1961), pp. 445-466.
    • (1961) Biophys. J. , vol.1 , pp. 445-466
    • Fitzhugh, R.1
  • 8
    • 0034145622 scopus 로고    scopus 로고
    • Hopf bifurcations in multiple-parameter space of the Hodgkin-Huxley equations
    • H. Fukai, T. Nomura, S. Doi, and S. Sato, Hopf bifurcations in multiple-parameter space of the Hodgkin-Huxley equations, I, II, Biol. Cybern., 82 (2000), pp. 215-222; 223-229.
    • (2000) I, II, Biol. Cybern. , vol.82 , pp. 215-222
    • Fukai, H.1    Nomura, T.2    Doi, S.3    Sato, S.4
  • 9
    • 4243902845 scopus 로고    scopus 로고
    • Global dynamics and stochastic resonance of the forced Fitzhgh-Nagumo neuron model
    • P.-L. Gong and J.-X. Xu, Global dynamics and stochastic resonance of the forced Fitzhgh-Nagumo neuron model, Phys. Rev. E. (3), 63 (2001), pp. 1-10.
    • (2001) Phys. Rev. E. , vol.63 , Issue.3 , pp. 1-10
    • Gong, P.-L.1    Xu, J.-X.2
  • 11
    • 0000370809 scopus 로고
    • Bifurcation of the Hodgkin-Huxley equations: Anew twist
    • J. Guckenheimer and I. S. Labouriau, Bifurcation of the Hodgkin-Huxley equations: Anew twist, Bull. Math. Biol., 55 (1993), pp. 937-952.
    • (1993) Bull. Math. Biol. , vol.55 , pp. 937-952
    • Guckenheimer, J.1    Labouriau, I.S.2
  • 12
    • 0034967327 scopus 로고    scopus 로고
    • Computing periodic orbits and their bifurcations with automatic differentiation
    • J. Guckenheimer and B. Meloon, Computing periodic orbits and their bifurcations with automatic differentiation, SIAM J. Sci. Comput., 22 (2000), pp. 951-985.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 951-985
    • Guckenheimer, J.1    Meloon, B.2
  • 13
    • 0017854654 scopus 로고
    • Bifurcation of periodic solutions of the Hodgkin-Huxley model for the squid giant axon
    • B. Hassard, Bifurcation of periodic solutions of the Hodgkin-Huxley model for the squid giant axon, J. Theoret. Biol., 71 (1978), pp. 401-420.
    • (1978) J. Theoret. Biol. , vol.71 , pp. 401-420
    • Hassard, B.1
  • 14
    • 0040663700 scopus 로고    scopus 로고
    • Asp ecial point of Z2-codimension three Hopf bifurcation in the Hodgkin-Huxley model
    • B. Hassard and L.-J. Shiau, Asp ecial point of Z2-codimension three Hopf bifurcation in the Hodgkin-Huxley model, Appl. Math. Lett., 9 (1996), pp. 31-34.
    • (1996) Appl. Math. Lett. , vol.9 , pp. 31-34
    • Hassard, B.1    Shiau, L.-J.2
  • 15
    • 35649001607 scopus 로고
    • Aquantitative description of membrane current and its applications to conduction and excitation in nerve
    • A. L. Hodgkin and A. F. Huxley, Aquantitative description of membrane current and its applications to conduction and excitation in nerve, J. Physiol. (Lond.), 116 (1952), pp. 500-544.
    • (1952) J. Physiol. (Lond.) , vol.116 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 16
    • 0037580095 scopus 로고
    • Degenerate Hopf bifurcation and nerve impulse II
    • I. S. Labouriau, Degenerate Hopf bifurcation and nerve impulse II, SIAM J. Math. Anal., 20 (1989), pp. 1-12.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 1-12
    • Labouriau, I.S.1
  • 19
    • 0019310660 scopus 로고
    • Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations
    • J. Rinzel and R. Miller, Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations, Math. Biosci., 49 (1980), pp. 27-59.
    • (1980) Math. Biosci. , vol.49 , pp. 27-59
    • Rinzel, J.1    Miller, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.